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Finding the Fourth Proportional to 296,499.48, 409,164.40 and 160,532.34

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Solution

The fourth proportional to 296,499.48, 409,164.40 and 160,532.34 is: 221,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,499.48 : 409,164.40 = 160,532.34 : x
  2. Step 2: Convert to fraction form
    296,499.48/409,164.40 = 160,532.34/x
  3. Step 3: Cross multiply
    296,499.48x = 409,164.40 × 160,532.34
  4. Step 4: Simplify right side
    296,499.48x = 65,684,118,576.70
  5. Step 5: Solve for x
    x = 65,684,118,576.70/296,499.48
  6. Step 6: Final answer
    x = 221,531.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.